[en] An interrelationship between static distribution on quantum dot shape and size and the energy-level density is considered. It is shown that, in the case of an array of not identical quantum dots, density of states in the vicinity of the ground state level has the form of an asymmetrical peak, whose the energy and shape are determined by certain statistical parameters of the quantum dot array such as an equilibrium radius as well as the dispersion and the asymmetry of quantum dot size distribution. General relations between the peak shape and the above-mentioned parameters are established